package no368;

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashMap;
import java.util.InputMismatchException;
import java.util.Map;
import java.util.NoSuchElementException;

import no368.Prime.Factor;

public class Main {
	public static final long MOD = 1000000007;
	public static void main(String[] args) {
		ArrayList<Integer> primeList = Prime.primeList((int) Math.sqrt(1e9) + 5); 
		
		IO io = new IO();
		int n = io.nextInt();
		int k = io.nextInt();
		HashMap<Integer,ArrayList<Integer>> hm = new HashMap<>();
		for(int i=0;i<n;i++) {
			int a = io.nextInt();
			for(Factor f: Prime.primeFactorF(primeList, a)) {
				ArrayList<Integer> al = hm.get(f.base);
				if (al == null) {
					al = new ArrayList<>();
				}
				al.add(f.exp);
				hm.put(f.base, al);
			}
		}
		long ans = 1;
		for(Map.Entry<Integer,ArrayList<Integer>> e: hm.entrySet()) {
			ArrayList<Integer> al = e.getValue();
			al.sort(Collections.reverseOrder());
			int max = Math.min(k, al.size());
			int sum = 0;
			for(int i=0;i<max;i++) {
				sum += al.get(i);
			}
			ans = ans * pow(e.getKey(), sum, MOD) % MOD;
		}
		System.out.println(ans);
	}
	
	public static long pow(long a,long n,long mod) {
		long res = 1;
		while(n > 0) {
			if ((n & 1) > 0) {
				res = (res * a) % mod;
			}
			a = (a * a) % mod;
			n/=2;
		}
		return res;
	}

}
class Prime {
	public static boolean[] isPrimeArray(int max) {
		boolean[] isPrime = new boolean[max+1];
		Arrays.fill(isPrime, true);
		isPrime[0] = isPrime[1] = false;
		for(int i=2;i*i<=max;i++) {
			if (isPrime[i]) {
				int j = i * 2;
				while(j<=max) {
					isPrime[j] = false;
					j += i;
				}
			}
		}
		return isPrime;
	}
	public static ArrayList<Integer> primeList(int max) {
		boolean[] isPrime = isPrimeArray(max);
		ArrayList<Integer> primeList = new ArrayList<Integer>();
		for(int i=2;i<=max;i++) {
			if (isPrime[i]) {
				primeList.add(i);
			}
		}
		return primeList;
	}
	public static ArrayList<Factor> primeFactorF(ArrayList<Integer> primeList,long num) {
		ArrayList<Factor> ret = new ArrayList<Factor>();
		for(int p:primeList) {
			int exp = 0;
			while(num % p == 0) {
				num /= p;
				exp++;
			}
			if (exp > 0) {
				ret.add(new Factor(p,exp));
			}
		}
		if (num > 1) {
			ret.add(new Factor((int) num,1));
		}
		return ret;
	}
	public static class Factor {
		int base,exp;
		public Factor(int base,int exp) {
			this.base = base;
			this.exp = exp;
		}
	}
}
class IO extends PrintWriter {
	private final InputStream in;
	private final byte[] buffer = new byte[1024];
	private int ptr = 0;
	private int buflen = 0;
	
	public IO() { this(System.in);}
	public IO(InputStream source) { super(System.out); this.in = source;}
	private boolean hasNextByte() {
		if (ptr < buflen) {
			return true;
		}else{
			ptr = 0;
			try {
				buflen = in.read(buffer);
			} catch (IOException e) {
				e.printStackTrace();
			}
			if (buflen <= 0) {
				return false;
			}
		}
		return true;
	}
	private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
	private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
	private static boolean isNewLine(int c) { return c == '\n' || c == '\r';}
	public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
	public boolean hasNextLine() { while(hasNextByte() && isNewLine(buffer[ptr])) ptr++; return hasNextByte();}
	public String next() {
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while(isPrintableChar(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	public char[] nextCharArray(int len) {
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		char[] s = new char[len];
		int i = 0;
		int b = readByte();
		while(isPrintableChar(b)) {
			if (i == len) {
				throw new InputMismatchException();
			}
			s[i++] = (char) b;
			b = readByte();
		}
		return s;
	}
	public String nextLine() {
		if (!hasNextLine()) {
			throw new NoSuchElementException();
		}
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while(!isNewLine(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	public long nextLong() {
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		long n = 0;
		boolean minus = false;
		int b = readByte();
		if (b == '-') {
			minus = true;
			b = readByte();
		}
		if (b < '0' || '9' < b) {
			throw new NumberFormatException();
		}
		while(true){
			if ('0' <= b && b <= '9') {
				n *= 10;
				n += b - '0';
			}else if(b == -1 || !isPrintableChar(b)){
				return minus ? -n : n;
			}else{
				throw new NumberFormatException();
			}
			b = readByte();
		}
	}
	public int nextInt() {
		long nl = nextLong();
		if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) {
			throw new NumberFormatException();
		}
		return (int) nl;
	}
	public char nextChar() {
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		return (char) readByte();
	}
	public double nextDouble() { return Double.parseDouble(next());}
	public int[] nextIntArray(int n) { int[] a = new int[n]; for(int i=0;i<n;i++) a[i] = nextInt(); return a;}
	public long[] nextLongArray(int n) { long[] a = new long[n]; for(int i=0;i<n;i++) a[i] = nextLong(); return a;}
	public double[] nextDoubleArray(int n) { double[] a = new double[n]; for(int i=0;i<n;i++) a[i] = nextDouble(); return a;}
	public void nextIntArrays(int[]... a) { for(int i=0;i<a[0].length;i++) for(int j=0;j<a.length;j++) a[j][i] = nextInt();}
	public int[][] nextIntMatrix(int n,int m) { int[][] a = new int[n][]; for(int i=0;i<n;i++) a[i] = nextIntArray(m); return a;}
	public char[][] nextCharMap(int n,int m) { char[][] a = new char[n][]; for(int i=0;i<n;i++) a[i] = nextCharArray(m); return a;}
	public void close() { super.close(); try {in.close();} catch (IOException e) {}}
}